Results 71 to 80 of about 10,446 (248)
Journal of Applied Mathematics, 2014 We obtain some Hermite-Hadamard type inequalities for s-convex functions on the coordinates via Riemann-Liouville integrals. Some integral inequalities with the right-hand side of the fractional Hermite-Hadamard type inequality are also established.
Feixiang Chen
doaj +1 more source
Some generalizations of Hermite-Hadamard type inequalities. [PDF]
Springerplus, 2016 Some generalizations and refinements of Hermite-Hadamard type inequalities related to [Formula: see text]-convex functions are investigated. Also applications for trapezoid and mid-point type inequalities are given.
Rostamian Delavar M, De La Sen M.
europepmc +5 more sources
Extensions of the Hermite-Hadamard inequality for convex functions via fractional integrals
, 2016 The main aim of this paper is to give extension and refinement of the Hermite-Hadamard inequality for convex functions via Riemann-Liouville fractional integrals. We show how to relax the convexity property of the function f .
Feixiang Chen
semanticscholar +1 more source
Quantum Ghost Imaging by Sparse Spatial Mode Reconstruction
Advanced Quantum Technologies, Volume 8, Issue 5, May 2025.Hermite–Gaussian spatial modes are used in quantum ghost imaging for enhanced image reconstruction, by exploiting modal sparsity. By leveraging structured light as a basis for imaging, time‐efficient and high resolution quantum ghost imaging is achieved, paving the way for breakthroughs in low‐light, biological science applications.
Fazilah Nothlawala +4 more
wiley +1 more source
Matrix Hermite-Hadamard type inequalities [PDF]
, 2013 We present several matrix and operator inequalities of Hermite-Hadamard type. We first establish a majorization version for monotone convex functions on matrices. We then utilize the Mond-Pecaric method to get an operator version for convex functions. We
Moslehian, Mohammad Sal
core
Sketched and Truncated Polynomial Krylov Methods: Evaluation of Matrix Functions
Numerical Linear Algebra with Applications, Volume 32, Issue 1, February 2025.ABSTRACT Among randomized numerical linear algebra strategies, so‐called sketching procedures are emerging as effective reduction means to accelerate the computation of Krylov subspace methods for, for example, the solution of linear systems, eigenvalue computations, and the approximation of matrix functions.
Davide Palitta +2 more
wiley +1 more source
Journal of Inequalities and Applications, 2021 In the paper, the authors establish some new Hermite–Hadamard type inequalities for harmonically convex functions via generalized fractional integrals.
Xue-Xiao You +4 more
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Ostrowski type inequalities for harmonically s-convex functions [PDF]
, 2013 The author introduces the concept of harmonically s-convex functions and establishes some Ostrowski type inequalities and Hermite-Hadamard type inequality of these classes of functions.Comment: 11 ...
Iscan, Imdat
core
On multiparametrized integral inequalities via generalized α‐convexity on fractal set
Mathematical Methods in the Applied Sciences, Volume 48, Issue 1, Page 980-1002, 15 January 2025.This article explores integral inequalities within the framework of local fractional calculus, focusing on the class of generalized α$$ \alpha $$‐convex functions. It introduces a novel extension of the Hermite‐Hadamard inequality and derives numerous fractal inequalities through a novel multiparameterized identity.
Hongyan Xu +4 more
wiley +1 more source
Extensions of Simpson’s Inequality via Nonnegative Weight Functions and Fractional Operators
Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.In this paper, we present a new version of Simpson‐type inequalities for differentiable functions defined on a subinterval of the positive real axis. The approach involves a nonnegative integrable weight function and provides an identity that refines the classical Simpson inequality by incorporating the first derivative of the function. A key aspect of
Hasan Öğünmez +2 more
wiley +1 more source